Resumen

SANCHEZ COHEN, Ignacio et al. Analytical expressions of soil erosion and impact on their productivity. Rev. Mex. Cienc. Agríc [online]. 2018, vol.9, n.6, pp.1109-1122. ISSN 2007-0934.  https://doi.org/10.29312/remexca.v9i6.1577.

The approximations for the estimation and projection of soil loss in hydrological basins, vary from the empirical equations, to the use of models based on environmental physics. The objective of this study was to generate and propose the use of a logistic differential equation for estimating soil loss. By using an exponential model under conditions of soil deterioration, the yield loss of the corn crop was estimated at 3.5 t ha-1, going from 4.5 to 1 t ha-1. The erosion model was parameterized with information from an experimental INIFAP basin located in the municipality of San Luis of Cordero, Durango. The results indicate that the average annual rate of soil loss is 0.44 mm year-1, for which it was considered a critical rate of soil loss of 10 mm year-1. With that initial rate, the range would reach its maximum allowable rate in 19 years. This study analyzes the behavior of the model parameters from where other soil loss scenarios were tested where the maximum permissible rate is reached at different times.

Palabras llave : environmental impact; process modeling; soil loss; yield.